What is laplacetransform-3tsin(2t) ?

The answer to laplacetransform-3tsin(2t) is -(12s)/((s^2+4)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform-3tsin(2t)

laplace transform

- 3 t sin (2 t)

- \frac{12 s}{( s ^{2} + 4 ) ^{2}}

Solution steps

L {- 3 t sin (2 t)}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= - 3 L {t sin (2 t)}

L {t sin (2 t)} : \frac{4 s}{( s ^{2} + 4 ) ^{2}}

= - 3 \cdot \frac{4 s}{( s ^{2} + 4 ) ^{2}}

Refine

- 3 \frac{4 s}{( s ^{2} + 4 ) ^{2}} : - \frac{12 s}{( s ^{2} + 4 ) ^{2}}

= - \frac{12 s}{( s ^{2} + 4 ) ^{2}}

f (x) = 4 x^{2} + 2 x - 3

\int (cos (2 y) - 3 x^{2} y^{2}) d x

\frac{d}{d x} (\frac{1}{2 3 x - 1})

f (x) = 8 (x - \frac{1}{x})^{4}, at x = 2

(sin (x^{'}))^{^{'}}

What is laplacetransform-3tsin(2t) ?
The answer to laplacetransform-3tsin(2t) is -(12s)/((s^2+4)^2)